All categories

2 years ago

3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?

Mathematics

1 answer:

Rasek [7]2 years ago

7 0

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

You might be interested in

Here are the results from the softball throw event on field day. The event took place on the football field. The distance the ba

Grace [21]

Bart 42.8%
Tito 28%
Nina 25%
Julie 22.2%
Richard 22%
Paul 17%

4 0

2 years ago

Read 2 more answers

Evaluate the expression <br>3x² + 5x when x = 5

vivado [14]

x(3x+5) since we factorize it

3 0

2 years ago

You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?

sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated. Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0

2 years ago

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total

IgorLugansk [536]

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

<h3>Word problems</h3>

According to the task content;

The total distance covered running and cycling per day is; 20miles

Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.